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Finding the Fourth Proportional to 7,221, 9,964.98 and 3,909

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Solution

The fourth proportional to 7,221, 9,964.98 and 3,909 is: 5,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221 : 9,964.98 = 3,909 : x
  2. Step 2: Convert to fraction form
    7,221/9,964.98 = 3,909/x
  3. Step 3: Cross multiply
    7,221x = 9,964.98 × 3,909
  4. Step 4: Simplify right side
    7,221x = 38,953,106.82
  5. Step 5: Solve for x
    x = 38,953,106.82/7,221
  6. Step 6: Final answer
    x = 5,394.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.